Question 1

The di+ variable indicates the amount by which each goal's target value is

Accepted Answer

A)  missed. 
B)  underachieved. 
C)  overachieved. 
D)  overstated. 
A)  missed. 
B)  underachieved. 
C)  overachieved. 
D)  overstated.

Question 2

Which of the following is true regarding goal programming?

Accepted Answer

A)  The objective function is not useful when comparing goal programming solutions. 
B)  We can place upper bounds on any of the deviation variables. 
C)  A preemptive goal program involves deviations with arbitrarily large weights. 
D)  All of these are true. 
A)  The objective function is not useful when comparing goal programming solutions. 
B)  We can place upper bounds on any of the deviation variables. 
C)  A preemptive goal program involves deviations with arbitrarily large weights. 
D)  All of these are true.

Question 3

Exhibit 7.1
The following questions are based on the problem below.
A company wants to advertise on TV and radio. The company wants to produce about 6 TV ads and 12 radio ads. Each TV ad costs $20,000 and is viewed by 10 million people. Radio ads cost $10,000 and are heard by 7 million people. The company wants to reach about 140 million people, and spend about $200,000 for all the ads. The problem has been set up in the following Excel spreadsheet.  
-Refer to Exhibit 7.1. Which of the following is a constraint specified to Analytic Solver Platform for this model?

Accepted Answer

A)  $B$9:$E$9=$B$6:$E$6 
B)  $B$9:$E$9$B$10:$E$10 
A)  $B$9:$E$9=$B$6:$E$6 
B)  $B$9:$E$9$B$10:$E$10

Question 4

Exhibit 7.2
The following questions are based on the problem below.
An investor has $150,000 to invest in investments A and B. Investment A requires a $10,000 minimum investment, pays a return of 12% and has a risk factor of .50. Investment B requires a $15,000 minimum investment, pays a return of 10% and has a risk factor of .20. The investor wants to maximize the return while minimizing the risk of the portfolio. The following multi-objective linear programming (MOLP) has been solved in Excel.  
-Refer to Exhibit 7.2. What Analytic Solver Platform constraint involves cells $B$6:$C$6?

Accepted Answer

A)  $B$6:$C$6=$B$7:$C$7 
B)  $B$6:$C$6≥$B$7:$C$7 
C)  $B$6:$C$6≤$B$7:$C$7 
D)  $B$6:$C$6=$D$7 
A)  $B$6:$C$6=$B$7:$C$7 
B)  $B$6:$C$6≥$B$7:$C$7 
C)  $B$6:$C$6≤$B$7:$C$7 
D)  $B$6:$C$6=$D$7

Question 5

An investor wants to invest $50,000 in two mutual funds, A and B. The rates of return, risks and minimum investment requirements for each fund are:   Note that a low Risk rating means a less risky investment. The investor can invest to maximize the expected rate of return or minimize risk. Any money beyond the minimum investment requirements can be invested in either fund.
The following is the multi-objective linear programming (MOLP) formulation for this problem:   The solution for the second LP is (X1, X2) = (20,000, 30,000).
Based on this solution, what values should go in cells B2:D11 of the spreadsheet?

Accepted Answer

Question 6

The decision maker has expressed concern with Goal 1, budget, achievement. He indicated that future candidate solutions should stay under budget. How can you modify your goal programming model to accommodate this change?

Accepted Answer

A)  Make budget a hard constraint in the model. 
B)  Give d1+ an extremely large weight in the objective function. 
C)  Remove d1+ from the goal constraint. 
D)  All of these. 
A)  Make budget a hard constraint in the model. 
B)  Give d1+ an extremely large weight in the objective function. 
C)  Remove d1+ from the goal constraint. 
D)  All of these.

Question 7

Exhibit 7.2
The following questions are based on the problem below.
An investor has $150,000 to invest in investments A and B. Investment A requires a $10,000 minimum investment, pays a return of 12% and has a risk factor of .50. Investment B requires a $15,000 minimum investment, pays a return of 10% and has a risk factor of .20. The investor wants to maximize the return while minimizing the risk of the portfolio. The following multi-objective linear programming (MOLP) has been solved in Excel.  
-Refer to Exhibit 7.2. Which cells are the changing cells in this model?

Accepted Answer

A)  $B$6:$C$6, $B$10:$B$11 
B)  $B$6:$C$6 
C)  $B$6:$D$6 
D)  $B$10:$B$11 
A)  $B$6:$C$6, $B$10:$B$11 
B)  $B$6:$C$6 
C)  $B$6:$D$6 
D)  $B$10:$B$11

Question 8

Exhibit 7.2
The following questions are based on the problem below.
An investor has $150,000 to invest in investments A and B. Investment A requires a $10,000 minimum investment, pays a return of 12% and has a risk factor of .50. Investment B requires a $15,000 minimum investment, pays a return of 10% and has a risk factor of .20. The investor wants to maximize the return while minimizing the risk of the portfolio. The following multi-objective linear programming (MOLP) has been solved in Excel.  
-Refer to Exhibit 7.2. What formula goes in cell B10?

Accepted Answer

A)  =SUMPRODUCT(B2:C2,$B$6:$C$6)/$D$7 
B)  =B2*C2+B3*C3 
C)  =SUMPRODUCT(B3:C3,$B$6:$C$6)/$D$7 
D)  =SUMPRODUCT(B2:C2,$B$6:$C$6) 
A)  =SUMPRODUCT(B2:C2,$B$6:$C$6)/$D$7 
B)  =B2*C2+B3*C3 
C)  =SUMPRODUCT(B3:C3,$B$6:$C$6)/$D$7 
D)  =SUMPRODUCT(B2:C2,$B$6:$C$6)

Question 9

Which of the following formulas is a deviation-minimizing objective function for a goal programming problem?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

​The second step in Goal Programming is defining the goals

Accepted Answer

A) True 
 B)False

Question 11

A company wants to purchase large and small delivery trucks. The company wants to purchase about 10 large and 15 small trucks. Each large truck costs $30,000 and has a 10 ton capacity. Each small truck costs $20,000 and has a 7 ton capacity. The company wants to have about 200 tons of capacity and spend about $600,000.
Based on the following goal programming formulation, associated solution, and spreadsheet model, what formulas should go in cells D6:E6, B9:E9, and B16 of the spreadsheet?   ​

Accepted Answer

The answer of A company wants to purchase large and...

Question 12

Which of the following is false regarding a goal constraint?

Accepted Answer

A)  A goal constraint allows us to determine how close a given solution comes to achieving a goal. 
B)  A goal constraint will always contain two deviational variables. 
C)  Deviation variables are non-negative. 
D)  If two deviation variables are used in a constraint at least one will have a value of zero. 
A)  A goal constraint allows us to determine how close a given solution comes to achieving a goal. 
B)  A goal constraint will always contain two deviational variables. 
C)  Deviation variables are non-negative. 
D)  If two deviation variables are used in a constraint at least one will have a value of zero.

Question 13

A dietician wants to formulate a low cost, high calorie food product for a customer. The following information is available about the 2 ingredients which can be combined to make the food. The customer wants 1000 pounds of the food product and it should contain 250 pounds of Food 1 and 300 pounds of Food 2. The final cost of the blend should be about $1.15 and contain about 2500 calories per pound. The percent of fat, protein, carbohydrate in each food is summarized below with the target values for the goals. The dietician would prefer the food product be low in fat while also high in protein and carbohydrates.   Formulate the GP for this problem

Accepted Answer

The answer of A dietician wants to formulate a low...

Question 14

MINIMAX solutions to multi-objective linear programming (MOLP) problems are

Accepted Answer

A)  dually optimal. 
B)  Pareto optimal. 
C)  suboptimal. 
D)  maximally optimal. 
A)  dually optimal. 
B)  Pareto optimal. 
C)  suboptimal. 
D)  maximally optimal.

Question 15

Which of the following are true regarding weights assigned to deviational variables?

Accepted Answer

A)  Larger weights are assigned to undesirable deviations from the respective goals. 
B)  The weights assigned must sum to one. 
C)  The weight assigned to the deviation under a particular goal must be the same as the weight assigned to the deviation above that particular goal. 
D)  All weights must be nonzero. 
A)  Larger weights are assigned to undesirable deviations from the respective goals. 
B)  The weights assigned must sum to one. 
C)  The weight assigned to the deviation under a particular goal must be the same as the weight assigned to the deviation above that particular goal. 
D)  All weights must be nonzero.

Question 16

Linear programming problems cannot have multiple objectives​

Accepted Answer

A) True 
 B)False

Question 17

Exhibit 7.1
The following questions are based on the problem below.
A company wants to advertise on TV and radio. The company wants to produce about 6 TV ads and 12 radio ads. Each TV ad costs $20,000 and is viewed by 10 million people. Radio ads cost $10,000 and are heard by 7 million people. The company wants to reach about 140 million people, and spend about $200,000 for all the ads. The problem has been set up in the following Excel spreadsheet.  
-Refer to Exhibit 7.1. Which cell(s) is(are) the objective cell(s) in this model?

Accepted Answer

A)  $B$20 
B)  $D$6 
C)  $E$6 
D)  $B$13:$E$14, $B$9:$E$9 
A)  $B$20 
B)  $D$6 
C)  $E$6 
D)  $B$13:$E$14, $B$9:$E$9

Question 18

Given the following goal constraints
​
5 X1 + 6 X2 + 7 X3 + d1− − d1+ = 87
3 X1 + X2 + 4 X3 + d2− − d2+ = 37
7 X1 + 3 X2 + 2 X3 + d3− − d3+ = 72
​
and solution (X1, X2, X3) = (7, 2, 5), what values do the deviational variables assume?

Accepted Answer

d₁− = 5, d₂⁺

Question 19

Exhibit 7.4
The following questions are based on the problem below.
Robert Gardner runs a small, local-only delivery service. His fleet consists of three smaller panel trucks. He recently accepted a contract to deliver 12 shipping boxes of goods for delivery to 12 different customers. The box weights are: 210, 160, 320, 90, 110, 70, 410, 260, 170, 240, 80 and 180 for boxes 1 through 12, respectively. Since each truck differs each truck has different load capacities as given below:   Robert would like each truck equally loaded, both in terms of number of boxes and in terms of total weight, while minimizing his shipping costs. Assume a cost of $50 per item for trucks carrying extra boxes and $0.10 per pound cost for trucks carrying less weight.
The following integer goal programming formulation applies to his problem.
YS1U1B11S1U1B0 = weight loaded in truck 1; YS1U1B12S1U1B0 = weight loaded in truck 2; YS1U1B13S1U1B0 = weight loaded in truck 3;
XS1U1B1i,jS1U1B0 = 0 if truck i not loaded with box j; 1 if truck i loaded with box j.   Given the following spreadsheet solution of this integer goal programming formulation, answer the following questions.  
-Refer to Exhibit 7.4. The solution indicates Truck 3 is under the target weight by 67 pounds. What if anything can be done to this model to provide a solution in which Truck 3 is closer to the target weight?

Accepted Answer

Nothing. Truck 3 is

Question 20

Goal programming differs from linear programming or integer linear programming is that

Accepted Answer

A)  goal programming provides for multiple objectives. 
B)  goal programming excludes hard constraints. 
C)  with goal programming we iterate until an acceptable solution is obtained. 
D)  goal programming requires fewer variables. 
A)  goal programming provides for multiple objectives. 
B)  goal programming excludes hard constraints. 
C)  with goal programming we iterate until an acceptable solution is obtained. 
D)  goal programming requires fewer variables.

The d_i⁺ variable indicates the amount by which each goal's target value is

Which of the following is true regarding goal programming?

The decision maker has expressed concern with Goal 1, budget, achievement. He indicated that future candidate solutions should stay under budget. How can you modify your goal programming model to accommodate this change?

Which of the following formulas is a deviation-minimizing objective function for a goal programming problem?

The second step in Goal Programming is defining the goals

Which of the following is false regarding a goal constraint?

MINIMAX solutions to multi-objective linear programming (MOLP) problems are

Which of the following are true regarding weights assigned to deviational variables?

Linear programming problems cannot have multiple objectives

Given the following goal constraints 5 X₁ + 6 X₂ + 7 X₃ + d₁− − d₁⁺ = 87 3 X₁ + X₂ + 4 X₃ + d₂− − d₂⁺ = 37 7 X₁ + 3 X₂ + 2 X₃ + d₃− − d₃⁺ = 72 and solution (X₁, X₂, X₃) = (7, 2, 5), what values do the deviational variables assume?

Goal programming differs from linear programming or integer linear programming is that

Introduction to Modeling and Decision Analysis

Introduction to Optimization and Linear Programming

Modeling and Solving Lp Problems in a Spreadsheet

Sensitivity Analysis and the Simplex Method

Network Modeling

Integer Linear Programming

Nonlinear Programming Evolutionary Optimization

Regression Analysis

Data Mining

Time Series Forecasting

Introduction to Simulation Using Analytic Solver Platform

Queuing Theory

Decision Analysis

Project Management Online

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Exam 7: Goal Programming and Multiple Objective Optimization

The di+ variable indicates the amount by which each goal's target value is

Which of the following is true regarding goal programming?

The decision maker has expressed concern with Goal 1, budget, achievement. He indicated that future candidate solutions should stay under budget. How can you modify your goal programming model to accommodate this change?

Which of the following formulas is a deviation-minimizing objective function for a goal programming problem?

​The second step in Goal Programming is defining the goals

Which of the following is false regarding a goal constraint?

MINIMAX solutions to multi-objective linear programming (MOLP) problems are

Which of the following are true regarding weights assigned to deviational variables?

Linear programming problems cannot have multiple objectives​

Given the following goal constraints ​ 5 X1 + 6 X2 + 7 X3 + d1− − d1+ = 87 3 X1 + X2 + 4 X3 + d2− − d2+ = 37 7 X1 + 3 X2 + 2 X3 + d3− − d3+ = 72 ​ and solution (X1, X2, X3) = (7, 2, 5), what values do the deviational variables assume?

Goal programming differs from linear programming or integer linear programming is that

Introduction to Modeling and Decision Analysis

Introduction to Optimization and Linear Programming

Modeling and Solving Lp Problems in a Spreadsheet

Sensitivity Analysis and the Simplex Method

Network Modeling

Integer Linear Programming

Nonlinear Programming Evolutionary Optimization

Regression Analysis

Data Mining

Time Series Forecasting

Introduction to Simulation Using Analytic Solver Platform

Queuing Theory

Decision Analysis

Project Management Online

Filters

The d_i⁺ variable indicates the amount by which each goal's target value is

The second step in Goal Programming is defining the goals

Linear programming problems cannot have multiple objectives

Given the following goal constraints 5 X₁ + 6 X₂ + 7 X₃ + d₁− − d₁⁺ = 87 3 X₁ + X₂ + 4 X₃ + d₂− − d₂⁺ = 37 7 X₁ + 3 X₂ + 2 X₃ + d₃− − d₃⁺ = 72 and solution (X₁, X₂, X₃) = (7, 2, 5), what values do the deviational variables assume?